The Denjoy type of argument for quasiperiodically forced circle diffeomorphisms

被引：12
|
作者：
Jäger, TH [1 ]
Keller, G [1 ]
机构：
[1] Univ Erlangen Nurnberg, Math Inst, Erlangen, Germany
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2006年 / 26卷
关键词：
D O I：
10.1017/S0143385705000477
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We carry the argument used in the proof of Denjoy's theorem over to the quasiperiodically forced case. Thus we derive that, if a system of quasiperiodically forced circle diffeomorphisms with bounded variation of the derivative has no invariant graphs with a certain kind of topological regularity, then the system is topologically transitive.
引用
收藏
页码：447 / 465
页数：19
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